Imagine that you are 22 years old now, and would like to retire at age 50. You estimate that you will need $1,500,000 to retire at that time. You have decided to start saving for retirement in 2 years, after graduate school. Therefore, in 2 years you will begin depositing money into an investment account that pays a return of 9% per year. You plan to make deposits every month. You also plan to stop saving for retirement at age 45. How much will you need to save each month from age 24 until age 45, to have $1,500,000 at age 50?

1. alwaysrain irrigation, inc. would like to determine capacity requirements for the next four years. currently, two production lines are in place for making bronze and plastic sprinklers. three types of sprinklers are available in both bronze and plastic: 90-degree nozzle sprinklers, 180-degree nozzle sprinklers, and 360-degree nozzle sprinklers. management has forecast demand for the next four years as follows: both production lines can produce all the different types of nozzles. the bronze machines needed for the bronze sprinklers require two operators and can produce up to 12,000 sprinklers. the plastic injection molding machine needed for the plastic sprinklers requires four operators and can produce up to 200,000 sprinklers. three bronze machines and only one injection molding machine are available. what are the capacity requirements for the next four years? (assume that there is no learning.)